Suppose that you have a drawer containing a lot of pens with the following characteristics:

15% are out of ink; the other 85% have ink

2. 45% are green; the other 55% are blue

3. 60% of the pens are blue or are out of ink

One pen is selected randomly from the drawer.

What is the probability that you selected a pen that is blue and is out of ink?

What is the probability that you selected a pen that is out of ink if it is blue?

Are the events "Blue" and "Out of Ink" disjoint? Explain and justify numerically.

Are the events "Blue" and "Out of Ink" independent? Explain and justify numerically.